Journal title
Journal of Topology and Analysis
Last updated
2025-07-22T23:26:26.553+01:00
Abstract
We answer a question of Liokumovich-Nabutovsky-Rotman showing that if D is a
Riemannian 2-disc with boundary length L, diameter d and area A << d then D can
be filled by a homotopy where the lengths of the intermediate curves are
bounded by $L+2d+O(\sqrt A)$.
Riemannian 2-disc with boundary length L, diameter d and area A << d then D can
be filled by a homotopy where the lengths of the intermediate curves are
bounded by $L+2d+O(\sqrt A)$.
Symplectic ID
429140
Download URL
http://arxiv.org/abs/1309.2967v2
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Publication type
Journal Article